Spurious Relationships for Nearly Non-Stationary Series
Literature shows that the regression of independent and (nearly) nonstationary time series could result in spurious outcomes. In this paper, we conjecture that under some situations, the regression of two independent and nearly non-stationary series does not have any spurious problem at all. To chec...
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doaj-192b0c428a5b485c81d74a8f4f8060a62021-08-26T13:58:19ZengMDPI AGJournal of Risk and Financial Management1911-80661911-80742021-08-011436636610.3390/jrfm14080366Spurious Relationships for Nearly Non-Stationary SeriesYushan Cheng0Yongchang Hui1Michael McAleer2Wing-Keung Wong3School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaDepartment of Finance, College of Management, Asia University, Taichung City 41354, TaiwanDepartment of Finance, Fintech and Blockchain Research Center, and Big Data Research Center, Asia University, 500, Lioufeng Road, Wufeng, Taichung City 41354, TaiwanLiterature shows that the regression of independent and (nearly) nonstationary time series could result in spurious outcomes. In this paper, we conjecture that under some situations, the regression of two independent and nearly non-stationary series does not have any spurious problem at all. To check whether our conjecture holds, we set up several situations and conduct simulations to justify our conjecture. Our simulations show that under some situations, the chance that the regressions being spurious is very high for all the cases simulated in our paper. Nonetheless, under some other situations, our simulation shows that the rejection rates are much smaller than the 5% level of significance for all the cases simulated in our paper, implying that our conjecture could hold under some situations that regression of two independent and nearly non-stationary series does not have any spurious problem at all.https://www.mdpi.com/1911-8074/14/8/366cointegrationstationaritynon-stationarityspurious problemnearly non-stationarity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yushan Cheng Yongchang Hui Michael McAleer Wing-Keung Wong |
spellingShingle |
Yushan Cheng Yongchang Hui Michael McAleer Wing-Keung Wong Spurious Relationships for Nearly Non-Stationary Series Journal of Risk and Financial Management cointegration stationarity non-stationarity spurious problem nearly non-stationarity |
author_facet |
Yushan Cheng Yongchang Hui Michael McAleer Wing-Keung Wong |
author_sort |
Yushan Cheng |
title |
Spurious Relationships for Nearly Non-Stationary Series |
title_short |
Spurious Relationships for Nearly Non-Stationary Series |
title_full |
Spurious Relationships for Nearly Non-Stationary Series |
title_fullStr |
Spurious Relationships for Nearly Non-Stationary Series |
title_full_unstemmed |
Spurious Relationships for Nearly Non-Stationary Series |
title_sort |
spurious relationships for nearly non-stationary series |
publisher |
MDPI AG |
series |
Journal of Risk and Financial Management |
issn |
1911-8066 1911-8074 |
publishDate |
2021-08-01 |
description |
Literature shows that the regression of independent and (nearly) nonstationary time series could result in spurious outcomes. In this paper, we conjecture that under some situations, the regression of two independent and nearly non-stationary series does not have any spurious problem at all. To check whether our conjecture holds, we set up several situations and conduct simulations to justify our conjecture. Our simulations show that under some situations, the chance that the regressions being spurious is very high for all the cases simulated in our paper. Nonetheless, under some other situations, our simulation shows that the rejection rates are much smaller than the 5% level of significance for all the cases simulated in our paper, implying that our conjecture could hold under some situations that regression of two independent and nearly non-stationary series does not have any spurious problem at all. |
topic |
cointegration stationarity non-stationarity spurious problem nearly non-stationarity |
url |
https://www.mdpi.com/1911-8074/14/8/366 |
work_keys_str_mv |
AT yushancheng spuriousrelationshipsfornearlynonstationaryseries AT yongchanghui spuriousrelationshipsfornearlynonstationaryseries AT michaelmcaleer spuriousrelationshipsfornearlynonstationaryseries AT wingkeungwong spuriousrelationshipsfornearlynonstationaryseries |
_version_ |
1721192126818025472 |